Existence of Periodic Traveling Wave Solutions for a K-P-Boussinesq Type System

Authors

  • Alex M. Montes University of Cauca

DOI:

https://doi.org/10.5556/j.tkjm.54.2023.3971

Keywords:

Boussinesq system, Periodic Traveling Waves, Variational Methods

Abstract

In this paper, via a variational approach, we show the existence of periodic traveling waves for a Kadomtsev-Petviashvili Boussinesq type system that describes the propagation of long waves in wide channels. We show that those periodic solutions are characterized as critical points of some functional, for which the existence of critical points follows as a consequence of the Mountain Pass Theorem and Arzela-Ascoli Theorem.

References

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Published

2021-11-13

How to Cite

Montes, A. M. (2021). Existence of Periodic Traveling Wave Solutions for a K-P-Boussinesq Type System. Tamkang Journal of Mathematics, 54. https://doi.org/10.5556/j.tkjm.54.2023.3971

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Papers